42962252256000 has 3456 divisors, whose sum is σ = 201866563971072. Its totient is φ = 8912166912000.

The previous prime is 42962252255959. The next prime is 42962252256041. The reversal of 42962252256000 is 65225226924.

It is a happy number.

42962252256000 is a `hidden beast` number, since 4 + 2 + 9 + 62 + 2 + 5 + 22 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42962252255959) and next prime (42962252256041).

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72448991704 + ... + 72448992296.

It is an arithmetic number, because the mean of its divisors is an integer number (58410464112).

Almost surely, 2^{42962252256000} is an apocalyptic number.

42962252256000 is a gapful number since it is divisible by the number (40) 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 42962252256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100933281985536).

42962252256000 is an abundant number, since it is smaller than the sum of its proper divisors (158904311715072).

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

42962252256000 is an frugal number, since it uses more digits than its factorization.

42962252256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 42962252256000 in words is "forty-two trillion, nine hundred sixty-two billion, two hundred fifty-two million, two hundred fifty-six thousand".