361250979840 has 640 divisors, whose sum is σ = 1310880352320. Its totient is φ = 95169282048.

The previous prime is 361250979839. The next prime is 361250979841. The reversal of 361250979840 is 48979052163.

361250979840 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 509 + 7 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (361250979839) and next prime (361250979841).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361250979841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2163179437 + ... + 2163179603.

It is a 1-persistent number, because it is pandigital, but 2⋅361250979840 = 722501959680 is not.

Almost surely, 2^361250979840 is an apocalyptic number.

361250979840 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 361250979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655440176160).

361250979840 is an abundant number, since it is smaller than the sum of its proper divisors (949629372480).

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

361250979840 is an equidigital number, since it uses as much as digits as its factorization.

361250979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 361250979840 in words is "three hundred sixty-one billion, two hundred fifty million, nine hundred seventy-nine thousand, eight hundred forty".