361142978339520 has 672 divisors, whose sum is σ = 1386587643936768. Its totient is φ = 85706698530816.

The previous prime is 361142978339467. The next prime is 361142978339543. The reversal of 361142978339520 is 25933879241163.

361142978339520 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 4 + 2 + 9 + 78 + 3 + 39 + 520 = 666.

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, 116366977 + ... + 119430143.

It is an arithmetic number, because the mean of its divisors is an integer number (2063374470144).

It is a 1-persistent number, because it is pandigital, but 2⋅361142978339520 = 722285956679040 is not.

Almost surely, 2^{361142978339520} is an apocalyptic number.

361142978339520 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 361142978339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693293821968384).

361142978339520 is an abundant number, since it is smaller than the sum of its proper divisors (1025444665597248).

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

361142978339520 is a wasteful number, since it uses less digits than its factorization.

361142978339520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063317 (or 3063304 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 361142978339520 in words is "three hundred sixty-one trillion, one hundred forty-two billion, nine hundred seventy-eight million, three hundred thirty-nine thousand, five hundred twenty".