40510948800 has 1344 divisors, whose sum is σ = 174160281600. Its totient is φ = 8028979200.

The previous prime is 40510948787. The next prime is 40510948811. The reversal of 40510948800 is 884901504.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×40510948800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 455179156 + ... + 455179244.

Almost surely, 2^40510948800 is an apocalyptic number.

40510948800 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 40510948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87080140800).

40510948800 is an abundant number, since it is smaller than the sum of its proper divisors (133649332800).

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

40510948800 is a wasteful number, since it uses less digits than its factorization.

40510948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 40510948800 in words is "forty billion, five hundred ten million, nine hundred forty-eight thousand, eight hundred".