1400131114434 has 192 divisors, whose sum is σ = 3581157740160. Its totient is φ = 406433479680.

The previous prime is 1400131114409. The next prime is 1400131114463. The reversal of 1400131114434 is 4344111310041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1400131114398 and 1400131114407.

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, 28905924 + ... + 28954320.

It is an arithmetic number, because the mean of its divisors is an integer number (18651863230).

Almost surely, 2^{1400131114434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400131114434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790578870080).

1400131114434 is an abundant number, since it is smaller than the sum of its proper divisors (2181026625726).

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

1400131114434 is a wasteful number, since it uses less digits than its factorization.

1400131114434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48687 (or 48675 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1400131114434 its reverse (4344111310041), we get a palindrome (5744242424475).

The spelling of 1400131114434 in words is "one trillion, four hundred billion, one hundred thirty-one million, one hundred fourteen thousand, four hundred thirty-four".