40149361440 has 288 divisors, whose sum is σ = 140834453760. Its totient is φ = 10409914368.

The previous prime is 40149361423. The next prime is 40149361459. The reversal of 40149361440 is 4416394104.

It is a happy number.

40149361440 is a `hidden beast` number, since 40 + 149 + 36 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40149361440² (a number of 22 digits) contains 22 as substring.

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 = 40149361395 and 40149361404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14797524 + ... + 14800236.

It is an arithmetic number, because the mean of its divisors is an integer number (489008520).

Almost surely, 2^40149361440 is an apocalyptic number.

40149361440 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 40149361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70417226880).

40149361440 is an abundant number, since it is smaller than the sum of its proper divisors (100685092320).

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

40149361440 is a wasteful number, since it uses less digits than its factorization.

40149361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40149361440 in words is "forty billion, one hundred forty-nine million, three hundred sixty-one thousand, four hundred forty".