41496002460 has 384 divisors, whose sum is σ = 150948403200. Its totient is φ = 9361059840.

The previous prime is 41496002419. The next prime is 41496002501. The reversal of 41496002460 is 6420069414.

41496002460 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 600 + 2 + 46 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41496002419) and next prime (41496002501).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5050836 + ... + 5059044.

It is an arithmetic number, because the mean of its divisors is an integer number (393094800).

Almost surely, 2^41496002460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41496002460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75474201600).

41496002460 is an abundant number, since it is smaller than the sum of its proper divisors (109452400740).

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

41496002460 is a wasteful number, since it uses less digits than its factorization.

41496002460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 41496002460 in words is "forty-one billion, four hundred ninety-six million, two thousand, four hundred sixty".