40191749246880 has 3072 divisors, whose sum is σ = 193518039859200. Its totient is φ = 7533518192640.

The previous prime is 40191749246849. The next prime is 40191749246881. The reversal of 40191749246880 is 8864294719104.

40191749246880 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 1 + 7 + 4 + 92 + 468 + 80 = 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 (40191749246881) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 41137920952 + ... + 41137921928.

It is an arithmetic number, because the mean of its divisors is an integer number (62994153600).

Almost surely, 2^{40191749246880} is an apocalyptic number.

40191749246880 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 40191749246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96759019929600).

40191749246880 is an abundant number, since it is smaller than the sum of its proper divisors (153326290612320).

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

40191749246880 is a wasteful number, since it uses less digits than its factorization.

40191749246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 40191749246880 in words is "forty trillion, one hundred ninety-one billion, seven hundred forty-nine million, two hundred forty-six thousand, eight hundred eighty".