370094009040 has 800 divisors, whose sum is σ = 1507001760000. Its totient is φ = 84142291968.

The previous prime is 370094009023. The next prime is 370094009041. The reversal of 370094009040 is 40900490073.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 370094008986 and 370094009004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370094009041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 597889851 + ... + 597890469.

It is an arithmetic number, because the mean of its divisors is an integer number (1883752200).

Almost surely, 2^370094009040 is an apocalyptic number.

370094009040 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 370094009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753500880000).

370094009040 is an abundant number, since it is smaller than the sum of its proper divisors (1136907750960).

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

370094009040 is a wasteful number, since it uses less digits than its factorization.

370094009040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 370094009040 in words is "three hundred seventy billion, ninety-four million, nine thousand, forty".