40418088960 has 192 divisors, whose sum is σ = 136113868800. Its totient is φ = 10210738176.

The previous prime is 40418088911. The next prime is 40418088961. The reversal of 40418088960 is 6988081404.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40418088961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549057 + ... + 618303.

It is an arithmetic number, because the mean of its divisors is an integer number (708926400).

Almost surely, 2^40418088960 is an apocalyptic number.

40418088960 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 40418088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68056934400).

40418088960 is an abundant number, since it is smaller than the sum of its proper divisors (95695779840).

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

40418088960 is a wasteful number, since it uses less digits than its factorization.

40418088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69296 (or 69276 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 40418088960 in words is "forty billion, four hundred eighteen million, eighty-eight thousand, nine hundred sixty".