40451004987840 has 896 divisors, whose sum is σ = 153270879436800. Its totient is φ = 10020411555840.

The previous prime is 40451004987787. The next prime is 40451004987851. The reversal of 40451004987840 is 4878940015404.

40451004987840 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 100 + 498 + 7 + 8 + 40 = 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 127 ways as a sum of consecutive naturals, for example, 1343738229 + ... + 1343768331.

Almost surely, 2^{40451004987840} is an apocalyptic number.

40451004987840 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 40451004987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76635439718400).

40451004987840 is an abundant number, since it is smaller than the sum of its proper divisors (112819874448960).

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

40451004987840 is a wasteful number, since it uses less digits than its factorization.

40451004987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30362 (or 30346 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 40451004987840 in words is "forty trillion, four hundred fifty-one billion, four million, nine hundred eighty-seven thousand, eight hundred forty".