40540406400 has 1152 divisors, whose sum is σ = 169192296000. Its totient is φ = 9157017600.

The previous prime is 40540406351. The next prime is 40540406483. The reversal of 40540406400 is 460404504.

40540406400 is a `hidden beast` number, since 40 + 540 + 40 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 291657531 + ... + 291657669.

Almost surely, 2^40540406400 is an apocalyptic number.

40540406400 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 40540406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84596148000).

40540406400 is an abundant number, since it is smaller than the sum of its proper divisors (128651889600).

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

40540406400 is a wasteful number, since it uses less digits than its factorization.

40540406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 40540406400 in words is "forty billion, five hundred forty million, four hundred six thousand, four hundred".