13074413940 has 576 divisors, whose sum is σ = 50118082560. Its totient is φ = 2693053440.

The previous prime is 13074413929. The next prime is 13074413951. The reversal of 13074413940 is 4931447031.

13074413940 is a `hidden beast` number, since 130 + 74 + 413 + 9 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13074413929) and next prime (13074413951).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13074413895 and 13074413904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39499575 + ... + 39499905.

It is an arithmetic number, because the mean of its divisors is an integer number (87010560).

Almost surely, 2^13074413940 is an apocalyptic number.

13074413940 is a gapful number since it is divisible by the number (10) 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 13074413940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059041280).

13074413940 is an abundant number, since it is smaller than the sum of its proper divisors (37043668620).

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

13074413940 is a wasteful number, since it uses less digits than its factorization.

13074413940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13074413940 in words is "thirteen billion, seventy-four million, four hundred thirteen thousand, nine hundred forty".