3412455151200 has 288 divisors, whose sum is σ = 11497608105984. Its totient is φ = 878419261440.

The previous prime is 3412455151181. The next prime is 3412455151211. The reversal of 3412455151200 is 21515542143.

It is a super-2 number, since 2×3412455151200² (a number of 26 digits) contains 22 as substring.

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, 11126307 + ... + 11428893.

It is an arithmetic number, because the mean of its divisors is an integer number (39922250368).

Almost surely, 2^{3412455151200} is an apocalyptic number.

3412455151200 is a gapful number since it is divisible by the number (30) 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 3412455151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748804052992).

3412455151200 is an abundant number, since it is smaller than the sum of its proper divisors (8085152954784).

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

3412455151200 is a wasteful number, since it uses less digits than its factorization.

3412455151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302774 (or 302761 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 3412455151200 in words is "three trillion, four hundred twelve billion, four hundred fifty-five million, one hundred fifty-one thousand, two hundred".