40502248455760 has 320 divisors, whose sum is σ = 124728080891904. Its totient is φ = 11866499481600.

The previous prime is 40502248455733. The next prime is 40502248455787. The reversal of 40502248455760 is 6755484220504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40502248455733) and next prime (40502248455787).

It is a super-2 number, since 2×40502248455760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 40502248455698 and 40502248455707.

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, 4866865 + ... + 10231855.

Almost surely, 2^{40502248455760} is an apocalyptic number.

40502248455760 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 40502248455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62364040445952).

40502248455760 is an abundant number, since it is smaller than the sum of its proper divisors (84225832436144).

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

40502248455760 is a wasteful number, since it uses less digits than its factorization.

40502248455760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365102 (or 5365096 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 52.

The spelling of 40502248455760 in words is "forty trillion, five hundred two billion, two hundred forty-eight million, four hundred fifty-five thousand, seven hundred sixty".