4002412953600 has 816 divisors, whose sum is σ = 14899920595040. Its totient is φ = 1066354606080.

The previous prime is 4002412953551. The next prime is 4002412953613. The reversal of 4002412953600 is 63592142004.

It is a happy number.

4002412953600 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 4 + 1 + 295 + 360 + 0 = 666.

It is a super-2 number, since 2×4002412953600² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 3583180242 + ... + 3583181358.

Almost surely, 2^{4002412953600} is an apocalyptic number.

4002412953600 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 4002412953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449960297520).

4002412953600 is an abundant number, since it is smaller than the sum of its proper divisors (10897507641440).

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

4002412953600 is an frugal number, since it uses more digits than its factorization.

4002412953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4002412953600 in words is "four trillion, two billion, four hundred twelve million, nine hundred fifty-three thousand, six hundred".