214553451240 has 160 divisors (see below), whose sum is σ = 721353643560. Its totient is φ = 57197145600.

The previous prime is 214553451227. The next prime is 214553451257. The reversal of 214553451240 is 42154355412.

214553451240 is a `hidden beast` number, since 2 + 14 + 553 + 4 + 51 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 214515332964 + 38118276 = 463158^2 + 6174^2 .

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 = 214553451195 and 214553451204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13797870 + ... + 13813410.

Almost surely, 2^214553451240 is an apocalyptic number.

214553451240 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 214553451240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360676821780).

214553451240 is an abundant number, since it is smaller than the sum of its proper divisors (506800192320).

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

214553451240 is a wasteful number, since it uses less digits than its factorization.

214553451240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19825 (or 19812 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 214553451240 in words is "two hundred fourteen billion, five hundred fifty-three million, four hundred fifty-one thousand, two hundred forty".