354402400000 has 864 divisors, whose sum is σ = 1076097125376. Its totient is φ = 114892800000.

The previous prime is 354402399961. The next prime is 354402400013. The reversal of 354402400000 is 4204453.

It is a happy number.

It is a super-2 number, since 2×354402400000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 3440799949 + ... + 3440800051.

It is an arithmetic number, because the mean of its divisors is an integer number (1245482784).

Almost surely, 2^354402400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354402400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538048562688).

354402400000 is an abundant number, since it is smaller than the sum of its proper divisors (721694725376).

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

354402400000 is a wasteful number, since it uses less digits than its factorization.

354402400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 354402400000 its reverse (4204453), we get a palindrome (354406604453).

The spelling of 354402400000 in words is "three hundred fifty-four billion, four hundred two million, four hundred thousand".