402046220400 has 240 divisors, whose sum is σ = 1405488792960. Its totient is φ = 97429683200.

The previous prime is 402046220399. The next prime is 402046220423. The reversal of 402046220400 is 4022640204.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59304211 + ... + 59310989.

It is an arithmetic number, because the mean of its divisors is an integer number (5856203304).

Almost surely, 2^402046220400 is an apocalyptic number.

402046220400 is a gapful number since it is divisible by the number (40) 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 402046220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702744396480).

402046220400 is an abundant number, since it is smaller than the sum of its proper divisors (1003442572560).

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

402046220400 is a wasteful number, since it uses less digits than its factorization.

402046220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 402046220400 its reverse (4022640204), we get a palindrome (406068860604).

The spelling of 402046220400 in words is "four hundred two billion, forty-six million, two hundred twenty thousand, four hundred".