1930229340480 has 756 divisors, whose sum is σ = 8151222729780. Its totient is φ = 417963442176.

The previous prime is 1930229340467. The next prime is 1930229340493. The reversal of 1930229340480 is 840439220391.

1930229340480 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 229 + 340 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1930229340467) and next prime (1930229340493).

It can be written as a sum of positive squares in 2 ways, for example, as 557901437184 + 1372327903296 = 746928^2 + 1171464^2 .

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 107 ways as a sum of consecutive naturals, for example, 50925376 + ... + 50963264.

Almost surely, 2^{1930229340480} is an apocalyptic number.

1930229340480 is a gapful number since it is divisible by the number (10) 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 1930229340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075611364890).

1930229340480 is an abundant number, since it is smaller than the sum of its proper divisors (6220993389300).

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

1930229340480 is a wasteful number, since it uses less digits than its factorization.

1930229340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37964 (or 37925 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1930229340480 in words is "one trillion, nine hundred thirty billion, two hundred twenty-nine million, three hundred forty thousand, four hundred eighty".