40405055040 has 840 divisors, whose sum is σ = 173116631160. Its totient is φ = 8908849152.

The previous prime is 40405054993. The next prime is 40405055051. The reversal of 40405055040 is 4055050404.

It can be written as a sum of positive squares in 4 ways, for example, as 1967099904 + 38437955136 = 44352^2 + 196056^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40405054995 and 40405055013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36831772 + ... + 36832868.

Almost surely, 2^40405055040 is an apocalyptic number.

40405055040 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 40405055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86558315580).

40405055040 is an abundant number, since it is smaller than the sum of its proper divisors (132711576120).

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

40405055040 is a wasteful number, since it uses less digits than its factorization.

40405055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 40405055040 in words is "forty billion, four hundred five million, fifty-five thousand, forty".