412153542000 has 320 divisors, whose sum is σ = 1563277622400. Its totient is φ = 103442227200.

The previous prime is 412153541981. The next prime is 412153542041. The reversal of 412153542000 is 245351214.

412153542000 is a `hidden beast` number, since 4 + 121 + 535 + 4 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693516 + ... + 1142484.

It is an arithmetic number, because the mean of its divisors is an integer number (4885242570).

Almost surely, 2^412153542000 is an apocalyptic number.

412153542000 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 412153542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781638811200).

412153542000 is an abundant number, since it is smaller than the sum of its proper divisors (1151124080400).

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

412153542000 is a wasteful number, since it uses less digits than its factorization.

412153542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449018 (or 448996 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 412153542000 its reverse (245351214), we get a palindrome (412398893214).

The spelling of 412153542000 in words is "four hundred twelve billion, one hundred fifty-three million, five hundred forty-two thousand".