40248426240 has 216 divisors, whose sum is σ = 151915418928. Its totient is φ = 9757163520.

The previous prime is 40248426227. The next prime is 40248426277. The reversal of 40248426240 is 4262484204.

It is a happy number.

40248426240 is a `hidden beast` number, since 4 + 0 + 24 + 8 + 4 + 2 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40248426195 and 40248426204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32089 + ... + 285528.

Almost surely, 2^40248426240 is an apocalyptic number.

40248426240 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 40248426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75957709464).

40248426240 is an abundant number, since it is smaller than the sum of its proper divisors (111666992688).

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

40248426240 is a wasteful number, since it uses less digits than its factorization.

40248426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317655 (or 317638 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 40248426240 in words is "forty billion, two hundred forty-eight million, four hundred twenty-six thousand, two hundred forty".