155035117440 has 768 divisors, whose sum is σ = 652203601920. Its totient is φ = 33165361152.

The previous prime is 155035117429. The next prime is 155035117477. The reversal of 155035117440 is 44711530551.

155035117440 is a `hidden beast` number, since 1 + 550 + 3 + 51 + 17 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155035117395 and 155035117404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43584142 + ... + 43587698.

It is an arithmetic number, because the mean of its divisors is an integer number (849223440).

Almost surely, 2^155035117440 is an apocalyptic number.

155035117440 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 155035117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326101800960).

155035117440 is an abundant number, since it is smaller than the sum of its proper divisors (497168484480).

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

155035117440 is a wasteful number, since it uses less digits than its factorization.

155035117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 155035117440 its reverse (44711530551), we get a palindrome (199746647991).

The spelling of 155035117440 in words is "one hundred fifty-five billion, thirty-five million, one hundred seventeen thousand, four hundred forty".