40635253440 has 336 divisors, whose sum is σ = 142589341440. Its totient is φ = 10619136000.

The previous prime is 40635253403. The next prime is 40635253481. The reversal of 40635253440 is 4435253604.

40635253440 is a `hidden beast` number, since 4 + 0 + 63 + 525 + 34 + 40 = 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 = 40635253395 and 40635253404.

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, 48432541 + ... + 48433379.

It is an arithmetic number, because the mean of its divisors is an integer number (424373040).

Almost surely, 2^40635253440 is an apocalyptic number.

40635253440 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 40635253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71294670720).

40635253440 is an abundant number, since it is smaller than the sum of its proper divisors (101954088000).

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

40635253440 is a wasteful number, since it uses less digits than its factorization.

40635253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 40635253440 in words is "forty billion, six hundred thirty-five million, two hundred fifty-three thousand, four hundred forty".