40215253440 has 448 divisors, whose sum is σ = 140985556992. Its totient is φ = 9678028800.

The previous prime is 40215253391. The next prime is 40215253447. The reversal of 40215253440 is 4435251204.

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 = 40215253398 and 40215253407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40215253447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28062964 + ... + 28064396.

It is an arithmetic number, because the mean of its divisors is an integer number (314699904).

Almost surely, 2^40215253440 is an apocalyptic number.

40215253440 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 40215253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70492778496).

40215253440 is an abundant number, since it is smaller than the sum of its proper divisors (100770303552).

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

40215253440 is a wasteful number, since it uses less digits than its factorization.

40215253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 40215253440 in words is "forty billion, two hundred fifteen million, two hundred fifty-three thousand, four hundred forty".