402141650400 has 864 divisors, whose sum is σ = 1765904474880. Its totient is φ = 86501744640.

The previous prime is 402141650387. The next prime is 402141650401. The reversal of 402141650400 is 4056141204.

402141650400 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 4 + 1 + 650 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402141650401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43692199 + ... + 43701401.

It is an arithmetic number, because the mean of its divisors is an integer number (2043870920).

Almost surely, 2^402141650400 is an apocalyptic number.

402141650400 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 402141650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882952237440).

402141650400 is an abundant number, since it is smaller than the sum of its proper divisors (1363762824480).

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

402141650400 is a wasteful number, since it uses less digits than its factorization.

402141650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9273 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 402141650400 its reverse (4056141204), we get a palindrome (406197791604).

The spelling of 402141650400 in words is "four hundred two billion, one hundred forty-one million, six hundred fifty thousand, four hundred".