142640870400 has 1320 divisors, whose sum is σ = 625074802176. Its totient is φ = 31452364800.

The previous prime is 142640870363. The next prime is 142640870443. The reversal of 142640870400 is 4078046241.

142640870400 is a `hidden beast` number, since 1 + 4 + 2 + 640 + 8 + 7 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 449971042 + ... + 449971358.

Almost surely, 2^142640870400 is an apocalyptic number.

142640870400 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 142640870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312537401088).

142640870400 is an abundant number, since it is smaller than the sum of its proper divisors (482433931776).

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

142640870400 is a wasteful number, since it uses less digits than its factorization.

142640870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 142640870400 in words is "one hundred forty-two billion, six hundred forty million, eight hundred seventy thousand, four hundred".