1375034291904 has 896 divisors, whose sum is σ = 4969298460672. Its totient is φ = 325019566080.

The previous prime is 1375034291903. The next prime is 1375034291923. The reversal of 1375034291904 is 4091924305731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1375034291903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2944398679 + ... + 2944399145.

It is an arithmetic number, because the mean of its divisors is an integer number (5546092032).

Almost surely, 2^{1375034291904} is an apocalyptic number.

1375034291904 is a gapful number since it is divisible by the number (14) 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 1375034291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484649230336).

1375034291904 is an abundant number, since it is smaller than the sum of its proper divisors (3594264168768).

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

1375034291904 is a wasteful number, since it uses less digits than its factorization.

1375034291904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 1375034291904 in words is "one trillion, three hundred seventy-five billion, thirty-four million, two hundred ninety-one thousand, nine hundred four".