372401610078240 has 1536 divisors, whose sum is σ = 1413086900198400. Its totient is φ = 91316168294400.

The previous prime is 372401610078233. The next prime is 372401610078271. The reversal of 372401610078240 is 42870016104273.

372401610078240 is a `hidden beast` number, since 3 + 7 + 2 + 4 + 0 + 1 + 610 + 0 + 7 + 8 + 24 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104695418542 + ... + 104695422098.

It is an arithmetic number, because the mean of its divisors is an integer number (919978450650).

Almost surely, 2^{372401610078240} is an apocalyptic number.

372401610078240 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 372401610078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706543450099200).

372401610078240 is an abundant number, since it is smaller than the sum of its proper divisors (1040685290120160).

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

372401610078240 is a wasteful number, since it uses less digits than its factorization.

372401610078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 372401610078240 in words is "three hundred seventy-two trillion, four hundred one billion, six hundred ten million, seventy-eight thousand, two hundred forty".