40153680000 has 960 divisors, whose sum is σ = 170999262720. Its totient is φ = 8847360000.

The previous prime is 40153679947. The next prime is 40153680023. The reversal of 40153680000 is 8635104.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×40153680000² (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 119 ways as a sum of consecutive naturals, for example, 156239872 + ... + 156240128.

It is an arithmetic number, because the mean of its divisors is an integer number (178124232).

Almost surely, 2^40153680000 is an apocalyptic number.

40153680000 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 40153680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85499631360).

40153680000 is an abundant number, since it is smaller than the sum of its proper divisors (130845582720).

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

40153680000 is a wasteful number, since it uses less digits than its factorization.

40153680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 40153680000 in words is "forty billion, one hundred fifty-three million, six hundred eighty thousand".