402220274400 has 720 divisors, whose sum is σ = 1682314137504. Its totient is φ = 91609989120.

The previous prime is 402220274353. The next prime is 402220274411. The reversal of 402220274400 is 4472022204.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×402220274400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 141975384 + ... + 141978216.

Almost surely, 2^402220274400 is an apocalyptic number.

402220274400 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 402220274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841157068752).

402220274400 is an abundant number, since it is smaller than the sum of its proper divisors (1280093863104).

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

402220274400 is a wasteful number, since it uses less digits than its factorization.

402220274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

Adding to 402220274400 its reverse (4472022204), we get a palindrome (406692296604).

The spelling of 402220274400 in words is "four hundred two billion, two hundred twenty million, two hundred seventy-four thousand, four hundred".