400142445434000 has 160 divisors (see below), whose sum is σ = 984435476144640. Its totient is φ = 157281965568000.

The previous prime is 400142445433987. The next prime is 400142445434023. The reversal of 400142445434000 is 434544241004.

It is a super-2 number, since 2×400142445434000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27336704 + ... + 39339296.

It is an arithmetic number, because the mean of its divisors is an integer number (6152721725904).

Almost surely, 2^{400142445434000} is an apocalyptic number.

400142445434000 is a gapful number since it is divisible by the number (40) 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 400142445434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492217738072320).

400142445434000 is an abundant number, since it is smaller than the sum of its proper divisors (584293030710640).

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

400142445434000 is a wasteful number, since it uses less digits than its factorization.

400142445434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002906 (or 12002890 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 400142445434000 its reverse (434544241004), we get a palindrome (400576989675004).

The spelling of 400142445434000 in words is "four hundred trillion, one hundred forty-two billion, four hundred forty-five million, four hundred thirty-four thousand".