4032992747520 has 1120 divisors, whose sum is σ = 16048414578240. Its totient is φ = 960610959360.

The previous prime is 4032992747423. The next prime is 4032992747521. The reversal of 4032992747520 is 257472992304.

It is a happy number.

4032992747520 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 99 + 27 + 4 + 7 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4032992747521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2153225304 + ... + 2153227176.

Almost surely, 2^{4032992747520} is an apocalyptic number.

4032992747520 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 4032992747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024207289120).

4032992747520 is an abundant number, since it is smaller than the sum of its proper divisors (12015421830720).

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

4032992747520 is a wasteful number, since it uses less digits than its factorization.

4032992747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4032992747520 in words is "four trillion, thirty-two billion, nine hundred ninety-two million, seven hundred forty-seven thousand, five hundred twenty".