40618054400 has 648 divisors, whose sum is σ = 129445048320. Its totient is φ = 12347596800.

The previous prime is 40618054357. The next prime is 40618054439. The reversal of 40618054400 is 445081604.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 71 ways as a sum of consecutive naturals, for example, 319827137 + ... + 319827263.

Almost surely, 2^40618054400 is an apocalyptic number.

40618054400 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 40618054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64722524160).

40618054400 is an abundant number, since it is smaller than the sum of its proper divisors (88826993920).

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

40618054400 is a wasteful number, since it uses less digits than its factorization.

40618054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 40618054400 in words is "forty billion, six hundred eighteen million, fifty-four thousand, four hundred".