1377719433090 has 640 divisors, whose sum is σ = 5235764244480. Its totient is φ = 250346764800.

The previous prime is 1377719433089. The next prime is 1377719433157. The reversal of 1377719433090 is 903349177731.

1377719433090 is a `hidden beast` number, since 1 + 3 + 77 + 71 + 94 + 330 + 90 = 666.

It is a super-2 number, since 2×1377719433090² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15360675 + ... + 15450105.

It is an arithmetic number, because the mean of its divisors is an integer number (8180881632).

Almost surely, 2^{1377719433090} is an apocalyptic number.

1377719433090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377719433090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617882122240).

1377719433090 is an abundant number, since it is smaller than the sum of its proper divisors (3858044811390).

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

1377719433090 is a wasteful number, since it uses less digits than its factorization.

1377719433090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89500 (or 89491 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 1377719433090 in words is "one trillion, three hundred seventy-seven billion, seven hundred nineteen million, four hundred thirty-three thousand, ninety".