40000249614528 has 448 divisors, whose sum is σ = 135343512944640. Its totient is φ = 11347827840000.

The previous prime is 40000249614527. The next prime is 40000249614539. The reversal of 40000249614528 is 82541694200004.

It is a happy number.

40000249614528 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 0 + 2 + 4 + 9 + 614 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (40000249614527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6105972853 + ... + 6105979403.

It is an arithmetic number, because the mean of its divisors is an integer number (302106055680).

Almost surely, 2^{40000249614528} is an apocalyptic number.

40000249614528 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 40000249614528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67671756472320).

40000249614528 is an abundant number, since it is smaller than the sum of its proper divisors (95343263330112).

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

40000249614528 is a wasteful number, since it uses less digits than its factorization.

40000249614528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10073 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40000249614528 in words is "forty trillion, two hundred forty-nine million, six hundred fourteen thousand, five hundred twenty-eight".