4119357680640 has 528 divisors, whose sum is σ = 14465586320640. Its totient is φ = 1083766210560.

The previous prime is 4119357680593. The next prime is 4119357680681. The reversal of 4119357680640 is 460867539114.

4119357680640 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 3 + 576 + 8 + 0 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2628817137 + ... + 2628818703.

Almost surely, 2^{4119357680640} is an apocalyptic number.

4119357680640 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 4119357680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232793160320).

4119357680640 is an abundant number, since it is smaller than the sum of its proper divisors (10346228640000).

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

4119357680640 is a wasteful number, since it uses less digits than its factorization.

4119357680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4119357680640 in words is "four trillion, one hundred nineteen billion, three hundred fifty-seven million, six hundred eighty thousand, six hundred forty".