40005178490880 has 1824 divisors, whose sum is σ = 154773146271744. Its totient is φ = 9888432390144.

The previous prime is 40005178490869. The next prime is 40005178490897. The reversal of 40005178490880 is 8809487150004.

40005178490880 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 5 + 1 + 78 + 490 + 8 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 315001405377 + ... + 315001405503.

Almost surely, 2^{40005178490880} is an apocalyptic number.

40005178490880 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 40005178490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77386573135872).

40005178490880 is an abundant number, since it is smaller than the sum of its proper divisors (114767967780864).

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

40005178490880 is an frugal number, since it uses more digits than its factorization.

40005178490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 40005178490880 in words is "forty trillion, five billion, one hundred seventy-eight million, four hundred ninety thousand, eight hundred eighty".