142387745702400 has 5760 divisors, whose sum is σ = 647709356448000. Its totient is φ = 30321672192000.

The previous prime is 142387745702393. The next prime is 142387745702401. The reversal of 142387745702400 is 4207547783241.

It is a happy number.

142387745702400 is a `hidden beast` number, since 1 + 4 + 23 + 8 + 7 + 7 + 4 + 570 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×142387745702400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142387745702401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1306309593546 + ... + 1306309593654.

It is an arithmetic number, because the mean of its divisors is an integer number (112449541050).

Almost surely, 2^{142387745702400} is an apocalyptic number.

142387745702400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142387745702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323854678224000).

142387745702400 is an abundant number, since it is smaller than the sum of its proper divisors (505321610745600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142387745702400 is a wasteful number, since it uses less digits than its factorization.

142387745702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 142387745702400 in words is "one hundred forty-two trillion, three hundred eighty-seven billion, seven hundred forty-five million, seven hundred two thousand, four hundred".