1377846040 has 64 divisors (see below), whose sum is σ = 3182742720. Its totient is φ = 536640000.

The previous prime is 1377846037. The next prime is 1377846059. The reversal of 1377846040 is 406487731.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1377845984 and 1377846002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243645 + ... + 249235.

It is an arithmetic number, because the mean of its divisors is an integer number (49730355).

Almost surely, 2^1377846040 is an apocalyptic number.

1377846040 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 1377846040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591371360).

1377846040 is an abundant number, since it is smaller than the sum of its proper divisors (1804896680).

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

1377846040 is a wasteful number, since it uses less digits than its factorization.

1377846040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 1377846040 is about 37119.3485934223. The cubic root of 1377846040 is about 1112.7567330730.

The spelling of 1377846040 in words is "one billion, three hundred seventy-seven million, eight hundred forty-six thousand, forty".