4290752437920 has 864 divisors, whose sum is σ = 17308275566400. Its totient is φ = 1000567406592.

The previous prime is 4290752437913. The next prime is 4290752437943. The reversal of 4290752437920 is 297342570924.

It is a happy number.

4290752437920 is a `hidden beast` number, since 4 + 2 + 90 + 7 + 524 + 3 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124826496 + ... + 124860864.

It is an arithmetic number, because the mean of its divisors is an integer number (20032726350).

Almost surely, 2^{4290752437920} is an apocalyptic number.

4290752437920 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 4290752437920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654137783200).

4290752437920 is an abundant number, since it is smaller than the sum of its proper divisors (13017523128480).

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

4290752437920 is a wasteful number, since it uses less digits than its factorization.

4290752437920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34444 (or 34411 counting only the distinct ones).

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

The spelling of 4290752437920 in words is "four trillion, two hundred ninety billion, seven hundred fifty-two million, four hundred thirty-seven thousand, nine hundred twenty".