40025653248 has 272 divisors, whose sum is σ = 123479367680. Its totient is φ = 11296309248.

The previous prime is 40025653243. The next prime is 40025653253. The reversal of 40025653248 is 84235652004.

It is an interprime number because it is at equal distance from previous prime (40025653243) and next prime (40025653253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40025653243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174784398 + ... + 174784626.

Almost surely, 2^40025653248 is an apocalyptic number.

40025653248 is a gapful number since it is divisible by the number (48) 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 40025653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61739683840).

40025653248 is an abundant number, since it is smaller than the sum of its proper divisors (83453714432).

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

40025653248 is an equidigital number, since it uses as much as digits as its factorization.

40025653248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 40025653248 in words is "forty billion, twenty-five million, six hundred fifty-three thousand, two hundred forty-eight".