40249687968 has 528 divisors, whose sum is σ = 144636166080. Its totient is φ = 10762979328.

The previous prime is 40249687949. The next prime is 40249687969. The reversal of 40249687968 is 86978694204.

40249687968 is a `hidden beast` number, since 4 + 0 + 2 + 496 + 87 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40249687969) by changing a digit.

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 87 ways as a sum of consecutive naturals, for example, 224858503 + ... + 224858681.

Almost surely, 2^40249687968 is an apocalyptic number.

40249687968 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 40249687968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72318083040).

40249687968 is an abundant number, since it is smaller than the sum of its proper divisors (104386478112).

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

40249687968 is an equidigital number, since it uses as much as digits as its factorization.

40249687968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 40249687968 in words is "forty billion, two hundred forty-nine million, six hundred eighty-seven thousand, nine hundred sixty-eight".