40220725248 has 468 divisors, whose sum is σ = 130519194624. Its totient is φ = 11921817600.

The previous prime is 40220725189. The next prime is 40220725267. The reversal of 40220725248 is 84252702204.

40220725248 is a `hidden beast` number, since 40 + 2 + 20 + 72 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316698561 + ... + 316698687.

It is an arithmetic number, because the mean of its divisors is an integer number (278887168).

Almost surely, 2^40220725248 is an apocalyptic number.

40220725248 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 40220725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65259597312).

40220725248 is an abundant number, since it is smaller than the sum of its proper divisors (90298469376).

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

40220725248 is a wasteful number, since it uses less digits than its factorization.

40220725248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 40220725248 in words is "forty billion, two hundred twenty million, seven hundred twenty-five thousand, two hundred forty-eight".