2154409128040 has 128 divisors (see below), whose sum is σ = 5321991951360. Its totient is φ = 780084670464.

The previous prime is 2154409128037. The next prime is 2154409128061. The reversal of 2154409128040 is 408219044512.

It is a super-2 number, since 2×2154409128040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2154409127984 and 2154409128002.

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, 7630672 + ... + 7907968.

It is an arithmetic number, because the mean of its divisors is an integer number (41578062120).

Almost surely, 2^{2154409128040} is an apocalyptic number.

2154409128040 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 2154409128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660995975680).

2154409128040 is an abundant number, since it is smaller than the sum of its proper divisors (3167582823320).

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

2154409128040 is a wasteful number, since it uses less digits than its factorization.

2154409128040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277611 (or 277607 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 2154409128040 in words is "two trillion, one hundred fifty-four billion, four hundred nine million, one hundred twenty-eight thousand, forty".