4135956577920 has 768 divisors, whose sum is σ = 15500375654400. Its totient is φ = 1051865616384.

The previous prime is 4135956577871. The next prime is 4135956577933. The reversal of 4135956577920 is 297756595314.

4135956577920 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 9 + 56 + 577 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×4135956577920² (a number of 26 digits) contains 22 as substring.

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, 1369974171 + ... + 1369977189.

It is an arithmetic number, because the mean of its divisors is an integer number (20182780800).

Almost surely, 2^{4135956577920} is an apocalyptic number.

4135956577920 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 4135956577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750187827200).

4135956577920 is an abundant number, since it is smaller than the sum of its proper divisors (11364419076480).

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

4135956577920 is a wasteful number, since it uses less digits than its factorization.

4135956577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 4135956577920 in words is "four trillion, one hundred thirty-five billion, nine hundred fifty-six million, five hundred seventy-seven thousand, nine hundred twenty".