11418395040 has 1152 divisors, whose sum is σ = 48542457600. Its totient is φ = 2508226560.

The previous prime is 11418395039. The next prime is 11418395047. The reversal of 11418395040 is 4059381411.

11418395040 is a `hidden beast` number, since 1 + 141 + 8 + 3 + 9 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11418394986 and 11418395004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11418395047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 278497420 + ... + 278497460.

It is an arithmetic number, because the mean of its divisors is an integer number (42137550).

Almost surely, 2^11418395040 is an apocalyptic number.

11418395040 is a gapful number since it is divisible by the number (10) 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 11418395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271228800).

11418395040 is an abundant number, since it is smaller than the sum of its proper divisors (37124062560).

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

11418395040 is a wasteful number, since it uses less digits than its factorization.

11418395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11418395040 in words is "eleven billion, four hundred eighteen million, three hundred ninety-five thousand, forty".