34401014899920 has 640 divisors, whose sum is σ = 127020120192000. Its totient is φ = 8527218278400.

The previous prime is 34401014899919. The next prime is 34401014899991. The reversal of 34401014899920 is 2999841010443.

34401014899920 is a `hidden beast` number, since 3 + 4 + 40 + 10 + 1 + 489 + 99 + 20 = 666.

It is a super-2 number, since 2×34401014899920² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1516855141 + ... + 1516877819.

It is an arithmetic number, because the mean of its divisors is an integer number (198468937800).

Almost surely, 2^{34401014899920} is an apocalyptic number.

34401014899920 is a gapful number since it is divisible by the number (30) 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 34401014899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63510060096000).

34401014899920 is an abundant number, since it is smaller than the sum of its proper divisors (92619105292080).

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

34401014899920 is a wasteful number, since it uses less digits than its factorization.

34401014899920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23228 (or 23216 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 34401014899920 in words is "thirty-four trillion, four hundred one billion, fourteen million, eight hundred ninety-nine thousand, nine hundred twenty".