4007964360000 has 560 divisors, whose sum is σ = 13859696277504. Its totient is φ = 1019935488000.

The previous prime is 4007964359933. The next prime is 4007964360073. The reversal of 4007964360000 is 634697004.

It is a super-2 number, since 2×4007964360000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1388278557 + ... + 1388281443.

Almost surely, 2^{4007964360000} is an apocalyptic number.

4007964360000 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 4007964360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929848138752).

4007964360000 is an abundant number, since it is smaller than the sum of its proper divisors (9851731917504).

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

4007964360000 is a wasteful number, since it uses less digits than its factorization.

4007964360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 4007964360000 in words is "four trillion, seven billion, nine hundred sixty-four million, three hundred sixty thousand".