155454193440 has 1152 divisors, whose sum is σ = 721918552320. Its totient is φ = 30860476416.

The previous prime is 155454193439. The next prime is 155454193511. The reversal of 155454193440 is 44391454551.

155454193440 is a `hidden beast` number, since 1 + 5 + 5 + 454 + 193 + 4 + 4 + 0 = 666.

155454193440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 46779619 + ... + 46782941.

It is an arithmetic number, because the mean of its divisors is an integer number (626665410).

Almost surely, 2^155454193440 is an apocalyptic number.

155454193440 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 155454193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360959276160).

155454193440 is an abundant number, since it is smaller than the sum of its proper divisors (566464358880).

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

155454193440 is a wasteful number, since it uses less digits than its factorization.

155454193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 155454193440 in words is "one hundred fifty-five billion, four hundred fifty-four million, one hundred ninety-three thousand, four hundred forty".