4008060902400 has 264 divisors, whose sum is σ = 13335793143600. Its totient is φ = 1061639946240.

The previous prime is 4008060902393. The next prime is 4008060902407. The reversal of 4008060902400 is 42090608004.

It is an interprime number because it is at equal distance from previous prime (4008060902393) and next prime (4008060902407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008060902407) 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, 11268072 + ... + 11618328.

Almost surely, 2^{4008060902400} is an apocalyptic number.

4008060902400 is a gapful number since it is divisible by the number (40) 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 4008060902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667896571800).

4008060902400 is an abundant number, since it is smaller than the sum of its proper divisors (9327732241200).

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

4008060902400 is a wasteful number, since it uses less digits than its factorization.

4008060902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350439 (or 350416 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 4008060902400 in words is "four trillion, eight billion, sixty million, nine hundred two thousand, four hundred".