40153946800 has 90 divisors (see below), whose sum is σ = 106037243564. Its totient is φ = 14601417600.

The previous prime is 40153946741. The next prime is 40153946809. The reversal of 40153946800 is 864935104.

It is a super-2 number, since 2×40153946800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40153946809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 366414 + ... + 463213.

Almost surely, 2^40153946800 is an apocalyptic number.

40153946800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40153946800 is an abundant number, since it is smaller than the sum of its proper divisors (65883296764).

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

40153946800 is a wasteful number, since it uses less digits than its factorization.

40153946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829667 (or 829645 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 40153946800 in words is "forty billion, one hundred fifty-three million, nine hundred forty-six thousand, eight hundred".