1554931261440 has 672 divisors, whose sum is σ = 5783555494080. Its totient is φ = 400275800064.

The previous prime is 1554931261423. The next prime is 1554931261501. The reversal of 1554931261440 is 441621394551.

1554931261440 is a `hidden beast` number, since 1 + 5 + 5 + 493 + 12 + 6 + 144 + 0 = 666.

It is a super-2 number, since 2×1554931261440² (a number of 25 digits) contains 22 as substring.

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

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, 288642427 + ... + 288647813.

It is an arithmetic number, because the mean of its divisors is an integer number (8606481390).

Almost surely, 2^{1554931261440} is an apocalyptic number.

1554931261440 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 1554931261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891777747040).

1554931261440 is an abundant number, since it is smaller than the sum of its proper divisors (4228624232640).

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

1554931261440 is an frugal number, since it uses more digits than its factorization.

1554931261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1554931261440 in words is "one trillion, five hundred fifty-four billion, nine hundred thirty-one million, two hundred sixty-one thousand, four hundred forty".