361274269440 has 288 divisors, whose sum is σ = 1321839429120. Its totient is φ = 82377326592.

The previous prime is 361274269423. The next prime is 361274269457. The reversal of 361274269440 is 44962472163.

It is an interprime number because it is at equal distance from previous prime (361274269423) and next prime (361274269457).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 361274269440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11246682 + ... + 11278758.

It is an arithmetic number, because the mean of its divisors is an integer number (4589720240).

Almost surely, 2^361274269440 is an apocalyptic number.

361274269440 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 361274269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660919714560).

361274269440 is an abundant number, since it is smaller than the sum of its proper divisors (960565159680).

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

361274269440 is a wasteful number, since it uses less digits than its factorization.

361274269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32527 (or 32513 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 361274269440 in words is "three hundred sixty-one billion, two hundred seventy-four million, two hundred sixty-nine thousand, four hundred forty".