4036920975360 has 1344 divisors, whose sum is σ = 17865046547712. Its totient is φ = 851554861056.

The previous prime is 4036920975349. The next prime is 4036920975391. The reversal of 4036920975360 is 635790296304.

4036920975360 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 9 + 209 + 75 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4036920975360² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4036920975297 and 4036920975306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905746252 + ... + 905750708.

It is an arithmetic number, because the mean of its divisors is an integer number (13292445348).

Almost surely, 2^{4036920975360} is an apocalyptic number.

4036920975360 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 4036920975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932523273856).

4036920975360 is an abundant number, since it is smaller than the sum of its proper divisors (13828125572352).

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

4036920975360 is an equidigital number, since it uses as much as digits as its factorization.

4036920975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 4036920975360 in words is "four trillion, thirty-six billion, nine hundred twenty million, nine hundred seventy-five thousand, three hundred sixty".