1375228290240 has 896 divisors, whose sum is σ = 5636156774400. Its totient is φ = 313044590592.

The previous prime is 1375228290181. The next prime is 1375228290263. The reversal of 1375228290240 is 420928225731.

1375228290240 is a `hidden beast` number, since 1 + 3 + 7 + 522 + 82 + 9 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1699910956 + ... + 1699911764.

Almost surely, 2^{1375228290240} is an apocalyptic number.

1375228290240 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 1375228290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818078387200).

1375228290240 is an abundant number, since it is smaller than the sum of its proper divisors (4260928484160).

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

1375228290240 is an frugal number, since it uses more digits than its factorization.

1375228290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1375228290240 in words is "one trillion, three hundred seventy-five billion, two hundred twenty-eight million, two hundred ninety thousand, two hundred forty".