42963264960000 has 3200 divisors, whose sum is σ = 190855258767360. Its totient is φ = 8311603200000.

The previous prime is 42963264959969. The next prime is 42963264960013. The reversal of 42963264960000 is 6946236924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 224938559905 + ... + 224938560095.

Almost surely, 2^{42963264960000} is an apocalyptic number.

42963264960000 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 42963264960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95427629383680).

42963264960000 is an abundant number, since it is smaller than the sum of its proper divisors (147891993807360).

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

42963264960000 is a wasteful number, since it uses less digits than its factorization.

42963264960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 42963264960000 in words is "forty-two trillion, nine hundred sixty-three billion, two hundred sixty-four million, nine hundred sixty thousand".