361961852783040 has 448 divisors, whose sum is σ = 1388575459267200. Its totient is φ = 88390047301632.

The previous prime is 361961852783021. The next prime is 361961852783051. The reversal of 361961852783040 is 40387258169163.

361961852783040 is a `hidden beast` number, since 3 + 6 + 1 + 9 + 61 + 8 + 527 + 8 + 3 + 0 + 40 = 666.

It is a super-2 number, since 2×361961852783040² (a number of 30 digits) contains 22 as substring.

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, 27867295 + ... + 38736414.

It is a 1-persistent number, because it is pandigital, but 2⋅361961852783040 = 723923705566080 is not.

Almost surely, 2^{361961852783040} is an apocalyptic number.

361961852783040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361961852783040 is an abundant number, since it is smaller than the sum of its proper divisors (1026613606484160).

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

361961852783040 is a wasteful number, since it uses less digits than its factorization.

361961852783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66603789 (or 66603773 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 361961852783040 in words is "three hundred sixty-one trillion, nine hundred sixty-one billion, eight hundred fifty-two million, seven hundred eighty-three thousand, forty".