40221241495680 has 512 divisors, whose sum is σ = 152090403494400. Its totient is φ = 8846091878400.

The previous prime is 40221241495667. The next prime is 40221241495693. The reversal of 40221241495680 is 8659414212204.

It is an interprime number because it is at equal distance from previous prime (40221241495667) and next prime (40221241495693).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114023580 + ... + 114375780.

It is an arithmetic number, because the mean of its divisors is an integer number (297051569325).

Almost surely, 2^{40221241495680} is an apocalyptic number.

40221241495680 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 40221241495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76045201747200).

40221241495680 is an abundant number, since it is smaller than the sum of its proper divisors (111869161998720).

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

40221241495680 is a wasteful number, since it uses less digits than its factorization.

40221241495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352552 (or 352540 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 40221241495680 in words is "forty trillion, two hundred twenty-one billion, two hundred forty-one million, four hundred ninety-five thousand, six hundred eighty".