40241350147680 has 768 divisors, whose sum is σ = 158865031987200. Its totient is φ = 9425320704000.

The previous prime is 40241350147627. The next prime is 40241350147697. The reversal of 40241350147680 is 8674105314204.

40241350147680 is a `hidden beast` number, since 4 + 0 + 2 + 41 + 3 + 501 + 47 + 68 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 911839215 + ... + 911883345.

It is an arithmetic number, because the mean of its divisors is an integer number (206855510400).

Almost surely, 2^{40241350147680} is an apocalyptic number.

40241350147680 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 40241350147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79432515993600).

40241350147680 is an abundant number, since it is smaller than the sum of its proper divisors (118623681839520).

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

40241350147680 is a wasteful number, since it uses less digits than its factorization.

40241350147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44816 (or 44802 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40241350147680 in words is "forty trillion, two hundred forty-one billion, three hundred fifty million, one hundred forty-seven thousand, six hundred eighty".