4008465401220 has 144 divisors (see below), whose sum is σ = 13903417032960. Its totient is φ = 915732511488.

The previous prime is 4008465401189. The next prime is 4008465401231. The reversal of 4008465401220 is 221045648004.

4008465401220 is a `hidden beast` number, since 4 + 0 + 0 + 84 + 6 + 540 + 12 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520994 + ... + 3214086.

Almost surely, 2^{4008465401220} 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 4008465401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6951708516480).

4008465401220 is an abundant number, since it is smaller than the sum of its proper divisors (9894951631740).

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

4008465401220 is a wasteful number, since it uses less digits than its factorization.

4008465401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694994 (or 1694989 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4008465401220 in words is "four trillion, eight billion, four hundred sixty-five million, four hundred one thousand, two hundred twenty".