212429377440 has 384 divisors, whose sum is σ = 869483704320. Its totient is φ = 47425803264.

The previous prime is 212429377429. The next prime is 212429377477. The reversal of 212429377440 is 44773924212.

212429377440 is a `hidden beast` number, since 2 + 12 + 42 + 93 + 77 + 440 = 666.

212429377440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218637 + ... + 1382003.

It is an arithmetic number, because the mean of its divisors is an integer number (2264280480).

Almost surely, 2^212429377440 is an apocalyptic number.

212429377440 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 212429377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434741852160).

212429377440 is an abundant number, since it is smaller than the sum of its proper divisors (657054326880).

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

212429377440 is a wasteful number, since it uses less digits than its factorization.

212429377440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163441 (or 163427 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 212429377440 in words is "two hundred twelve billion, four hundred twenty-nine million, three hundred seventy-seven thousand, four hundred forty".