400523414532340 has 192 divisors, whose sum is σ = 939950115084288. Its totient is φ = 142098976857600.

The previous prime is 400523414532253. The next prime is 400523414532347. The reversal of 400523414532340 is 43235414325004.

It is a junction number, because it is equal to n+sod(n) for n = 400523414532293 and 400523414532302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400523414532347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68337041010 + ... + 68337046870.

It is an arithmetic number, because the mean of its divisors is an integer number (4895573516064).

Almost surely, 2^{400523414532340} 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 400523414532340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469975057542144).

400523414532340 is an abundant number, since it is smaller than the sum of its proper divisors (539426700551948).

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

400523414532340 is a wasteful number, since it uses less digits than its factorization.

400523414532340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12758 (or 12756 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 400523414532340 its reverse (43235414325004), we get a palindrome (443758828857344).

The spelling of 400523414532340 in words is "four hundred trillion, five hundred twenty-three billion, four hundred fourteen million, five hundred thirty-two thousand, three hundred forty".