361797400440 has 512 divisors, whose sum is σ = 1450097510400. Its totient is φ = 78496542720.

The previous prime is 361797400439. The next prime is 361797400451. The reversal of 361797400440 is 44004797163.

361797400440 is a `hidden beast` number, since 36 + 179 + 7 + 4 + 0 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11452747 + ... + 11484293.

It is an arithmetic number, because the mean of its divisors is an integer number (2832221700).

Almost surely, 2^361797400440 is an apocalyptic number.

361797400440 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 361797400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725048755200).

361797400440 is an abundant number, since it is smaller than the sum of its proper divisors (1088300109960).

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

361797400440 is a wasteful number, since it uses less digits than its factorization.

361797400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31652 (or 31642 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 361797400440 in words is "three hundred sixty-one billion, seven hundred ninety-seven million, four hundred thousand, four hundred forty".