4001455428408 has 128 divisors (see below), whose sum is σ = 11478915993600. Its totient is φ = 1290206102400.

The previous prime is 4001455428371. The next prime is 4001455428457. The reversal of 4001455428408 is 8048245541004.

4001455428408 is a `hidden beast` number, since 4 + 0 + 0 + 14 + 554 + 2 + 84 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14737285 + ... + 15006347.

It is an arithmetic number, because the mean of its divisors is an integer number (89679031200).

Almost surely, 2^{4001455428408} 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 4001455428408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739457996800).

4001455428408 is an abundant number, since it is smaller than the sum of its proper divisors (7477460565192).

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

4001455428408 is a wasteful number, since it uses less digits than its factorization.

4001455428408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271330 (or 271320 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 4001455428408 in words is "four trillion, one billion, four hundred fifty-five million, four hundred twenty-eight thousand, four hundred eight".