2014154531040 has 192 divisors, whose sum is σ = 6465871028736. Its totient is φ = 526845376512.

The previous prime is 2014154531027. The next prime is 2014154531101. The reversal of 2014154531040 is 401354514102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2014154530989 and 2014154531007.

It is a congruent number.

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, 150674437 + ... + 150687803.

It is an arithmetic number, because the mean of its divisors is an integer number (33676411608).

Almost surely, 2^{2014154531040} is an apocalyptic number.

2014154531040 is a gapful number since it is divisible by the number (20) 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 2014154531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232935514368).

2014154531040 is an abundant number, since it is smaller than the sum of its proper divisors (4451716497696).

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

2014154531040 is a wasteful number, since it uses less digits than its factorization.

2014154531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19361 (or 19353 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2014154531040 in words is "two trillion, fourteen billion, one hundred fifty-four million, five hundred thirty-one thousand, forty".