361841517240 has 384 divisors, whose sum is σ = 1331287695360. Its totient is φ = 78292279296.

The previous prime is 361841517229. The next prime is 361841517251. The reversal of 361841517240 is 42715148163.

It is an interprime number because it is at equal distance from previous prime (361841517229) and next prime (361841517251).

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

It is a junction number, because it is equal to n+sod(n) for n = 361841517192 and 361841517201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13104489 + ... + 13132071.

It is an arithmetic number, because the mean of its divisors is an integer number (3466895040).

Almost surely, 2^361841517240 is an apocalyptic number.

361841517240 is a gapful number since it is divisible by the number (30) 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 361841517240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665643847680).

361841517240 is an abundant number, since it is smaller than the sum of its proper divisors (969446178120).

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

361841517240 is a wasteful number, since it uses less digits than its factorization.

361841517240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27731 (or 27720 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 361841517240 in words is "three hundred sixty-one billion, eight hundred forty-one million, five hundred seventeen thousand, two hundred forty".