3640415026416 has 320 divisors, whose sum is σ = 11967218810880. Its totient is φ = 929618933760.

The previous prime is 3640415026403. The next prime is 3640415026429. The reversal of 3640415026416 is 6146205140463.

It is an interprime number because it is at equal distance from previous prime (3640415026403) and next prime (3640415026429).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 10548921 + ... + 10888551.

It is an arithmetic number, because the mean of its divisors is an integer number (37397558784).

Almost surely, 2^{3640415026416} 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 3640415026416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983609405440).

3640415026416 is an abundant number, since it is smaller than the sum of its proper divisors (8326803784464).

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

3640415026416 is a wasteful number, since it uses less digits than its factorization.

3640415026416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339764 (or 339758 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 3640415026416 in words is "three trillion, six hundred forty billion, four hundred fifteen million, twenty-six thousand, four hundred sixteen".