215411046400 has 288 divisors, whose sum is σ = 590958426240. Its totient is φ = 77213696000.

The previous prime is 215411046307. The next prime is 215411046413. The reversal of 215411046400 is 4640114512.

It is a super-2 number, since 2×215411046400² (a number of 23 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 23 ways as a sum of consecutive naturals, for example, 39984507 + ... + 39989893.

It is an arithmetic number, because the mean of its divisors is an integer number (2051938980).

Almost surely, 2^215411046400 is an apocalyptic number.

215411046400 is a gapful number since it is divisible by the number (20) 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 215411046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295479213120).

215411046400 is an abundant number, since it is smaller than the sum of its proper divisors (375547379840).

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

215411046400 is a wasteful number, since it uses less digits than its factorization.

215411046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 215411046400 in words is "two hundred fifteen billion, four hundred eleven million, forty-six thousand, four hundred".