40053117440 has 240 divisors, whose sum is σ = 113087886912. Its totient is φ = 13563518976.

The previous prime is 40053117367. The next prime is 40053117469. The reversal of 40053117440 is 4471135004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10409597 + ... + 10413443.

Almost surely, 2^40053117440 is an apocalyptic number.

40053117440 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 40053117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56543943456).

40053117440 is an abundant number, since it is smaller than the sum of its proper divisors (73034769472).

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

40053117440 is an equidigital number, since it uses as much as digits as its factorization.

40053117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 40053117440 in words is "forty billion, fifty-three million, one hundred seventeen thousand, four hundred forty".