407034074076 has 192 divisors, whose sum is σ = 1220475755520. Its totient is φ = 102775357440.

The previous prime is 407034074047. The next prime is 407034074099. The reversal of 407034074076 is 670470430704.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2999536 + ... + 3132296.

It is an arithmetic number, because the mean of its divisors is an integer number (6356644560).

Almost surely, 2^407034074076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407034074076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610237877760).

407034074076 is an abundant number, since it is smaller than the sum of its proper divisors (813441681444).

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

407034074076 is a wasteful number, since it uses less digits than its factorization.

407034074076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132924 (or 132922 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 407034074076 in words is "four hundred seven billion, thirty-four million, seventy-four thousand, seventy-six".