41252443914240 has 1672 divisors, whose sum is σ = 163832108407128. Its totient is φ = 9906778275840.

The previous prime is 41252443914169. The next prime is 41252443914251. The reversal of 41252443914240 is 4241934425214.

41252443914240 is a `hidden beast` number, since 4 + 1 + 2 + 524 + 43 + 9 + 1 + 42 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 990677827584 + 40261766086656 = 995328^2 + 6345216^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1006157168620 + ... + 1006157168660.

Almost surely, 2^{41252443914240} is an apocalyptic number.

41252443914240 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 41252443914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81916054203564).

41252443914240 is an abundant number, since it is smaller than the sum of its proper divisors (122579664492888).

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

41252443914240 is an frugal number, since it uses more digits than its factorization.

41252443914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 41252443914240 in words is "forty-one trillion, two hundred fifty-two billion, four hundred forty-three million, nine hundred fourteen thousand, two hundred forty".