354534961440 has 192 divisors, whose sum is σ = 1219909299840. Its totient is φ = 85835120640.

The previous prime is 354534961357. The next prime is 354534961441. The reversal of 354534961440 is 44169435453.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 354534961440.

It is not an unprimeable number, because it can be changed into a prime (354534961441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4016662 + ... + 4103978.

It is an arithmetic number, because the mean of its divisors is an integer number (6353694270).

Almost surely, 2^354534961440 is an apocalyptic number.

354534961440 is a gapful number since it is divisible by the number (30) 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 354534961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609954649920).

354534961440 is an abundant number, since it is smaller than the sum of its proper divisors (865374338400).

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

354534961440 is a wasteful number, since it uses less digits than its factorization.

354534961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88115 (or 88107 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 354534961440 in words is "three hundred fifty-four billion, five hundred thirty-four million, nine hundred sixty-one thousand, four hundred forty".