41205156460512 has 48 divisors (see below), whose sum is σ = 117996584412672. Its totient is φ = 12486411048320.

The previous prime is 41205156460487. The next prime is 41205156460537. The reversal of 41205156460512 is 21506465150214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41205156460487) and next prime (41205156460537).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19510016208 + ... + 19510018319.

It is an arithmetic number, because the mean of its divisors is an integer number (2458262175264).

Almost surely, 2^{41205156460512} is an apocalyptic number.

It is an amenable number.

41205156460512 is an abundant number, since it is smaller than the sum of its proper divisors (76791427952160).

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

41205156460512 is a wasteful number, since it uses less digits than its factorization.

41205156460512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39020034551 (or 39020034543 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 41205156460512 in words is "forty-one trillion, two hundred five billion, one hundred fifty-six million, four hundred sixty thousand, five hundred twelve".