40114151353440 has 144 divisors (see below), whose sum is σ = 136939900406400. Its totient is φ = 10693171777536.

The previous prime is 40114151353433. The next prime is 40114151353457. The reversal of 40114151353440 is 4435315141104.

40114151353440 is a `hidden beast` number, since 4 + 0 + 1 + 14 + 151 + 3 + 53 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40114151353395 and 40114151353404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207305 + ... + 9038024.

It is an arithmetic number, because the mean of its divisors is an integer number (950971530600).

Almost surely, 2^{40114151353440} is an apocalyptic number.

40114151353440 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 40114151353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68469950203200).

40114151353440 is an abundant number, since it is smaller than the sum of its proper divisors (96825749052960).

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

40114151353440 is a wasteful number, since it uses less digits than its factorization.

40114151353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10248069 (or 10248058 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 40114151353440 its reverse (4435315141104), we get a palindrome (44549466494544).

The spelling of 40114151353440 in words is "forty trillion, one hundred fourteen billion, one hundred fifty-one million, three hundred fifty-three thousand, four hundred forty".