407074369104 has 120 divisors (see below), whose sum is σ = 1229878930280. Its totient is φ = 124947173376.

The previous prime is 407074369103. The next prime is 407074369127. The reversal of 407074369104 is 401963470704.

407074369104 is a `hidden beast` number, since 40 + 70 + 7 + 436 + 9 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72388978704 + 334685390400 = 269052^2 + 578520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 407074369104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407074369103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499812 + ... + 1031484.

Almost surely, 2^407074369104 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 407074369104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614939465140).

407074369104 is an abundant number, since it is smaller than the sum of its proper divisors (822804561176).

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

407074369104 is a wasteful number, since it uses less digits than its factorization.

407074369104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532109 (or 532100 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 407074369104 in words is "four hundred seven billion, seventy-four million, three hundred sixty-nine thousand, one hundred four".