40678490430900 has 864 divisors, whose sum is σ = 153782237306880. Its totient is φ = 9196845960960.

The previous prime is 40678490430883. The next prime is 40678490430923. The reversal of 40678490430900 is 903409487604.

It is a happy number.

40678490430900 is a `hidden beast` number, since 4 + 0 + 67 + 8 + 490 + 4 + 3 + 0 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19718123269 + ... + 19718125331.

Almost surely, 2^{40678490430900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40678490430900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76891118653440).

40678490430900 is an abundant number, since it is smaller than the sum of its proper divisors (113103746875980).

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

40678490430900 is a wasteful number, since it uses less digits than its factorization.

40678490430900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 40678490430900 in words is "forty trillion, six hundred seventy-eight billion, four hundred ninety million, four hundred thirty thousand, nine hundred".