40034187648 has 768 divisors, whose sum is σ = 149034762240. Its totient is φ = 10032906240.

The previous prime is 40034187647. The next prime is 40034187653. The reversal of 40034187648 is 84678143004.

40034187648 is a `hidden beast` number, since 400 + 3 + 4 + 187 + 64 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40034187647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315229761 + ... + 315229887.

It is an arithmetic number, because the mean of its divisors is an integer number (194055680).

Almost surely, 2^40034187648 is an apocalyptic number.

40034187648 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 40034187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74517381120).

40034187648 is an abundant number, since it is smaller than the sum of its proper divisors (109000574592).

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

40034187648 is a wasteful number, since it uses less digits than its factorization.

40034187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 40034187648 in words is "forty billion, thirty-four million, one hundred eighty-seven thousand, six hundred forty-eight".