40254538263552 has 264 divisors, whose sum is σ = 126883249147200. Its totient is φ = 12711957958656.

The previous prime is 40254538263503. The next prime is 40254538263629. The reversal of 40254538263552 is 25536283545204.

It is a happy number.

40254538263552 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 4 + 5 + 3 + 82 + 6 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470599 + ... + 8985017.

Almost surely, 2^{40254538263552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40254538263552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63441624573600).

40254538263552 is an abundant number, since it is smaller than the sum of its proper divisors (86628710883648).

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

40254538263552 is an equidigital number, since it uses as much as digits as its factorization.

40254538263552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514473 (or 8514443 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 40254538263552 in words is "forty trillion, two hundred fifty-four billion, five hundred thirty-eight million, two hundred sixty-three thousand, five hundred fifty-two".