3913774511040 has 840 divisors, whose sum is σ = 15201004436640. Its totient is φ = 954582257664.

The previous prime is 3913774511039. The next prime is 3913774511041. The reversal of 3913774511040 is 401154773193.

3913774511040 is a `hidden beast` number, since 3 + 91 + 3 + 7 + 7 + 4 + 511 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3913774511039) and next prime (3913774511041).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3913774511041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 271349269 + ... + 271363691.

Almost surely, 2^{3913774511040} is an apocalyptic number.

3913774511040 is a gapful number since it is divisible by the number (30) 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 3913774511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600502218320).

3913774511040 is an abundant number, since it is smaller than the sum of its proper divisors (11287229925600).

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

3913774511040 is a wasteful number, since it uses less digits than its factorization.

3913774511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14519 (or 14481 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 3913774511040 in words is "three trillion, nine hundred thirteen billion, seven hundred seventy-four million, five hundred eleven thousand, forty".