4000407151104 has 1920 divisors, whose sum is σ = 16015689930240. Its totient is φ = 931053699072.

The previous prime is 4000407151093. The next prime is 4000407151109. The reversal of 4000407151104 is 4011517040004.

4000407151104 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 407 + 151 + 104 = 666.

It is not an unprimeable number, because it can be changed into a prime (4000407151109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7648961787 + ... + 7648962309.

It is an arithmetic number, because the mean of its divisors is an integer number (8341505172).

Almost surely, 2^{4000407151104} 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 4000407151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007844965120).

4000407151104 is an abundant number, since it is smaller than the sum of its proper divisors (12015282779136).

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

4000407151104 is a wasteful number, since it uses less digits than its factorization.

4000407151104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 4000407151104 in words is "four trillion, four hundred seven million, one hundred fifty-one thousand, one hundred four".