838612938849840 has 8640 divisors, whose sum is σ = 4217041190089728. Its totient is φ = 150975173099520.

The previous prime is 838612938849799. The next prime is 838612938849853. The reversal of 838612938849840 is 48948839216838.

838612938849840 is a `hidden beast` number, since 8 + 3 + 8 + 6 + 1 + 2 + 9 + 3 + 88 + 498 + 40 = 666.

It is a super-2 number, since 2×838612938849840² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 838612938849840.

It is an unprimeable number.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 4345144760784 + ... + 4345144760976.

Almost surely, 2^{838612938849840} is an apocalyptic number.

838612938849840 is a gapful number since it is divisible by the number (80) 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 838612938849840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108520595044864).

838612938849840 is an abundant number, since it is smaller than the sum of its proper divisors (3378428251239888).

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

838612938849840 is a wasteful number, since it uses less digits than its factorization.

838612938849840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4586471424, while the sum is 81.

The spelling of 838612938849840 in words is "eight hundred thirty-eight trillion, six hundred twelve billion, nine hundred thirty-eight million, eight hundred forty-nine thousand, eight hundred forty".