200402760550344 has 512 divisors, whose sum is σ = 617933749708800. Its totient is φ = 53370920632320.

The previous prime is 200402760550313. The next prime is 200402760550373. The reversal of 200402760550344 is 443055067204002.

It is a super-2 number, since 2×200402760550344² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200402760550296 and 200402760550305.

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, 3064557712 + ... + 3064623104.

It is an arithmetic number, because the mean of its divisors is an integer number (1206901854900).

Almost surely, 2^{200402760550344} is an apocalyptic number.

200402760550344 is a gapful number since it is divisible by the number (24) 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 200402760550344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308966874854400).

200402760550344 is an abundant number, since it is smaller than the sum of its proper divisors (417530989158456).

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

200402760550344 is a wasteful number, since it uses less digits than its factorization.

200402760550344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65965 (or 65961 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 200402760550344 in words is "two hundred trillion, four hundred two billion, seven hundred sixty million, five hundred fifty thousand, three hundred forty-four".