1551401349120 has 624 divisors, whose sum is σ = 6187231345152. Its totient is φ = 352213401600.

The previous prime is 1551401349109. The next prime is 1551401349161. The reversal of 1551401349120 is 219431041551.

1551401349120 is a `hidden beast` number, since 1 + 5 + 5 + 140 + 1 + 3 + 491 + 20 = 666.

It is a super-2 number, since 2×1551401349120² (a number of 25 digits) contains 22 as substring.

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, 194822259 + ... + 194830221.

It is an arithmetic number, because the mean of its divisors is an integer number (9915434848).

Almost surely, 2^{1551401349120} is an apocalyptic number.

1551401349120 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 1551401349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093615672576).

1551401349120 is an abundant number, since it is smaller than the sum of its proper divisors (4635829996032).

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

1551401349120 is a wasteful number, since it uses less digits than its factorization.

1551401349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1551401349120 in words is "one trillion, five hundred fifty-one billion, four hundred one million, three hundred forty-nine thousand, one hundred twenty".