142738976701440 has 5632 divisors, whose sum is σ = 662393217024000. Its totient is φ = 28429243121664.

The previous prime is 142738976701381. The next prime is 142738976701441. The reversal of 142738976701440 is 44107679837241.

It is a happy number.

142738976701440 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 38 + 97 + 6 + 70 + 1 + 440 = 666.

It is a super-2 number, since 2×142738976701440² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142738976701441) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1026899112891 + ... + 1026899113029.

It is an arithmetic number, because the mean of its divisors is an integer number (117612432000).

Almost surely, 2^{142738976701440} is an apocalyptic number.

142738976701440 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 142738976701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331196608512000).

142738976701440 is an abundant number, since it is smaller than the sum of its proper divisors (519654240322560).

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

142738976701440 is a wasteful number, since it uses less digits than its factorization.

142738976701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 142738976701440 in words is "one hundred forty-two trillion, seven hundred thirty-eight billion, nine hundred seventy-six million, seven hundred one thousand, four hundred forty".