4215657375072 has 384 divisors, whose sum is σ = 14450218352640. Its totient is φ = 1178800128000.

The previous prime is 4215657375071. The next prime is 4215657375109. The reversal of 4215657375072 is 2705737565124.

4215657375072 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 65 + 73 + 7 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4215657375071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 672243297 + ... + 672249567.

It is an arithmetic number, because the mean of its divisors is an integer number (37630776960).

Almost surely, 2^{4215657375072} 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 4215657375072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225109176320).

4215657375072 is an abundant number, since it is smaller than the sum of its proper divisors (10234560977568).

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

4215657375072 is a wasteful number, since it uses less digits than its factorization.

4215657375072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 4215657375072 in words is "four trillion, two hundred fifteen billion, six hundred fifty-seven million, three hundred seventy-five thousand, seventy-two".