40402021678200 has 576 divisors, whose sum is σ = 167035127400960. Its totient is φ = 8522335503360.

The previous prime is 40402021678181. The next prime is 40402021678201. The reversal of 40402021678200 is 287612020404.

40402021678200 is a `hidden beast` number, since 40 + 402 + 0 + 2 + 1 + 6 + 7 + 8 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40402021678201) 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, 738219237 + ... + 738273963.

Almost surely, 2^{40402021678200} is an apocalyptic number.

40402021678200 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 40402021678200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83517563700480).

40402021678200 is an abundant number, since it is smaller than the sum of its proper divisors (126633105722760).

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

40402021678200 is a wasteful number, since it uses less digits than its factorization.

40402021678200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59276 (or 59264 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 40402021678200 its reverse (287612020404), we get a palindrome (40689633698604).

The spelling of 40402021678200 in words is "forty trillion, four hundred two billion, twenty-one million, six hundred seventy-eight thousand, two hundred".