402044200400 has 120 divisors (see below), whose sum is σ = 986299693464. Its totient is φ = 157455360000.

The previous prime is 402044200367. The next prime is 402044200403. The reversal of 402044200400 is 4002440204.

It can be written as a sum of positive squares in 12 ways, for example, as 145331738176 + 256712462224 = 381224^2 + 506668^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402044200403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3950150 + ... + 4050650.

Almost surely, 2^402044200400 is an apocalyptic number.

402044200400 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 402044200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493149846732).

402044200400 is an abundant number, since it is smaller than the sum of its proper divisors (584255493064).

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

402044200400 is a wasteful number, since it uses less digits than its factorization.

402044200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100729 (or 100718 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 402044200400 its reverse (4002440204), we get a palindrome (406046640604).

The spelling of 402044200400 in words is "four hundred two billion, forty-four million, two hundred thousand, four hundred".