40114525440 has 288 divisors, whose sum is σ = 140054487552. Its totient is φ = 9704448000.

The previous prime is 40114525411. The next prime is 40114525457. The reversal of 40114525440 is 4452541104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40114525398 and 40114525407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34256055 + ... + 34257225.

It is an arithmetic number, because the mean of its divisors is an integer number (486300304).

Almost surely, 2^40114525440 is an apocalyptic number.

40114525440 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 40114525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70027243776).

40114525440 is an abundant number, since it is smaller than the sum of its proper divisors (99939962112).

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

40114525440 is a wasteful number, since it uses less digits than its factorization.

40114525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 40114525440 in words is "forty billion, one hundred fourteen million, five hundred twenty-five thousand, four hundred forty".