354040125000 has 224 divisors, whose sum is σ = 1133394867360. Its totient is φ = 92104000000.

The previous prime is 354040124989. The next prime is 354040125113. The reversal of 354040125000 is 521040453.

It is a super-2 number, since 2×354040125000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15363487 + ... + 15386513.

It is an arithmetic number, because the mean of its divisors is an integer number (5059798515).

Almost surely, 2^354040125000 is an apocalyptic number.

354040125000 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 354040125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566697433680).

354040125000 is an abundant number, since it is smaller than the sum of its proper divisors (779354742360).

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

354040125000 is an equidigital number, since it uses as much as digits as its factorization.

354040125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23107 (or 23078 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 354040125000 its reverse (521040453), we get a palindrome (354561165453).

The spelling of 354040125000 in words is "three hundred fifty-four billion, forty million, one hundred twenty-five thousand".