212857267440 has 240 divisors, whose sum is σ = 680492195712. Its totient is φ = 55039177728.

The previous prime is 212857267409. The next prime is 212857267471. The reversal of 212857267440 is 44762758212.

212857267440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212857267409) and next prime (212857267471).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 212857267440.

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, 114009387 + ... + 114011253.

Almost surely, 2^212857267440 is an apocalyptic number.

212857267440 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 212857267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340246097856).

212857267440 is an abundant number, since it is smaller than the sum of its proper divisors (467634928272).

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

212857267440 is a wasteful number, since it uses less digits than its factorization.

212857267440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 212857267440 in words is "two hundred twelve billion, eight hundred fifty-seven million, two hundred sixty-seven thousand, four hundred forty".