354406235040 has 576 divisors, whose sum is σ = 1423086537600. Its totient is φ = 79182766080.

The previous prime is 354406235021. The next prime is 354406235101. The reversal of 354406235040 is 40532604453.

354406235040 is a `hidden beast` number, since 3 + 54 + 40 + 62 + 3 + 504 + 0 = 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 = 354406234986 and 354406235004.

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, 208596111 + ... + 208597809.

It is an arithmetic number, because the mean of its divisors is an integer number (2470636350).

Almost surely, 2^354406235040 is an apocalyptic number.

354406235040 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 354406235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711543268800).

354406235040 is an abundant number, since it is smaller than the sum of its proper divisors (1068680302560).

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

354406235040 is a wasteful number, since it uses less digits than its factorization.

354406235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 354406235040 its reverse (40532604453), we get a palindrome (394938839493).

The spelling of 354406235040 in words is "three hundred fifty-four billion, four hundred six million, two hundred thirty-five thousand, forty".