1375504416 has 288 divisors, whose sum is σ = 4769489088. Its totient is φ = 384445440.

The previous prime is 1375504409. The next prime is 1375504421. The reversal of 1375504416 is 6144055731.

1375504416 is a `hidden beast` number, since 137 + 5 + 504 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111350 + ... + 1112586.

It is an arithmetic number, because the mean of its divisors is an integer number (16560726).

Almost surely, 2^1375504416 is an apocalyptic number.

1375504416 is a gapful number since it is divisible by the number (16) 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 1375504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384744544).

1375504416 is an abundant number, since it is smaller than the sum of its proper divisors (3393984672).

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

1375504416 is a wasteful number, since it uses less digits than its factorization.

1375504416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1375504416 is about 37087.7933557660. The cubic root of 1375504416 is about 1112.1260057684.

The spelling of 1375504416 in words is "one billion, three hundred seventy-five million, five hundred four thousand, four hundred sixteen".