40380968678400 has 594 divisors, whose sum is σ = 168188401870710. Its totient is φ = 9229933117440.

The previous prime is 40380968678389. The next prime is 40380968678471. The reversal of 40380968678400 is 487686908304.

40380968678400 is a `hidden beast` number, since 4 + 0 + 3 + 80 + 9 + 6 + 86 + 78 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 121639117824 + 40259329560576 = 348768^2 + 6345024^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9501186 + ... + 13078014.

Almost surely, 2^{40380968678400} is an apocalyptic number.

40380968678400 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 40380968678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84094200935355).

40380968678400 is an abundant number, since it is smaller than the sum of its proper divisors (127807433192310).

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

40380968678400 is a wasteful number, since it uses less digits than its factorization.

40380968678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576879 (or 3576846 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 40380968678400 in words is "forty trillion, three hundred eighty billion, nine hundred sixty-eight million, six hundred seventy-eight thousand, four hundred".