212640215040 has 1040 divisors, whose sum is σ = 854036384256. Its totient is φ = 50164531200.

The previous prime is 212640215009. The next prime is 212640215057. The reversal of 212640215040 is 40512046212.

212640215040 is a `hidden beast` number, since 2 + 1 + 2 + 640 + 2 + 15 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×212640215040² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212640214995 and 212640215013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 784650105 + ... + 784650375.

Almost surely, 2^212640215040 is an apocalyptic number.

212640215040 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 212640215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427018192128).

212640215040 is an abundant number, since it is smaller than the sum of its proper divisors (641396169216).

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

212640215040 is a wasteful number, since it uses less digits than its factorization.

212640215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 212640215040 in words is "two hundred twelve billion, six hundred forty million, two hundred fifteen thousand, forty".