142630294532400 has 480 divisors, whose sum is σ = 521605577517120. Its totient is φ = 36990675025920.

The previous prime is 142630294532399. The next prime is 142630294532419. The reversal of 142630294532400 is 4235492036241.

142630294532400 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 30 + 294 + 5 + 324 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 932190304 + ... + 932343296.

It is an arithmetic number, because the mean of its divisors is an integer number (1086678286494).

Almost surely, 2^{142630294532400} is an apocalyptic number.

142630294532400 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 142630294532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260802788758560).

142630294532400 is an abundant number, since it is smaller than the sum of its proper divisors (378975282984720).

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

142630294532400 is a wasteful number, since it uses less digits than its factorization.

142630294532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155390 (or 155373 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 142630294532400 in words is "one hundred forty-two trillion, six hundred thirty billion, two hundred ninety-four million, five hundred thirty-two thousand, four hundred".