7935994440000 has 1400 divisors, whose sum is σ = 32857190283456. Its totient is φ = 1876608000000.

The previous prime is 7935994439993. The next prime is 7935994440007. The reversal of 7935994440000 is 444995397.

7935994440000 is a `hidden beast` number, since 7 + 9 + 3 + 599 + 4 + 4 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7935994439993) and next prime (7935994440007).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7935994440007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1461237285 + ... + 1461242715.

Almost surely, 2^{7935994440000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7935994440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428595141728).

7935994440000 is an abundant number, since it is smaller than the sum of its proper divisors (24921195843456).

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

7935994440000 is a wasteful number, since it uses less digits than its factorization.

7935994440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 7935994440000 in words is "seven trillion, nine hundred thirty-five billion, nine hundred ninety-four million, four hundred forty thousand".