40430819225440 has 48 divisors (see below), whose sum is σ = 109163211911712. Its totient is φ = 13861995162624.

The previous prime is 40430819225437. The next prime is 40430819225441. The reversal of 40430819225440 is 4452291803404.

It is a super-2 number, since 2×40430819225440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40430819225441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18049471749 + ... + 18049473988.

It is an arithmetic number, because the mean of its divisors is an integer number (2274233581494).

Almost surely, 2^{40430819225440} is an apocalyptic number.

40430819225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40430819225440 is an abundant number, since it is smaller than the sum of its proper divisors (68732392686272).

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

40430819225440 is a wasteful number, since it uses less digits than its factorization.

40430819225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36098945759 (or 36098945751 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 40430819225440 in words is "forty trillion, four hundred thirty billion, eight hundred nineteen million, two hundred twenty-five thousand, four hundred forty".