6157154989440 has 1152 divisors, whose sum is σ = 26744832953280. Its totient is φ = 1277709189120.

The previous prime is 6157154989429. The next prime is 6157154989451. The reversal of 6157154989440 is 449894517516.

6157154989440 is a `hidden beast` number, since 6 + 1 + 5 + 7 + 1 + 549 + 89 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6157154989429) and next prime (6157154989451).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 415651474 + ... + 415666286.

Almost surely, 2^{6157154989440} is an apocalyptic number.

6157154989440 is a gapful number since it is divisible by the number (60) 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 6157154989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372416476640).

6157154989440 is an abundant number, since it is smaller than the sum of its proper divisors (20587677963840).

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

6157154989440 is a wasteful number, since it uses less digits than its factorization.

6157154989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14932 (or 14904 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 6157154989440 in words is "six trillion, one hundred fifty-seven billion, one hundred fifty-four million, nine hundred eighty-nine thousand, four hundred forty".