140434401044420 has 288 divisors, whose sum is σ = 364317528453984. Its totient is φ = 45182484480000.

The previous prime is 140434401044411. The next prime is 140434401044449. The reversal of 140434401044420 is 24440104434041.

It can be written as a sum of positive squares in 16 ways, for example, as 16744725889024 + 123689675155396 = 4092032^2 + 11121586^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20957227070 + ... + 20957233770.

It is an arithmetic number, because the mean of its divisors is an integer number (1264991418243).

Almost surely, 2^{140434401044420} is an apocalyptic number.

140434401044420 is a gapful number since it is divisible by the number (10) 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 140434401044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182158764226992).

140434401044420 is an abundant number, since it is smaller than the sum of its proper divisors (223883127409564).

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

140434401044420 is a wasteful number, since it uses less digits than its factorization.

140434401044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 140434401044420 its reverse (24440104434041), we get a palindrome (164874505478461).

The spelling of 140434401044420 in words is "one hundred forty trillion, four hundred thirty-four billion, four hundred one million, forty-four thousand, four hundred twenty".