7087227114240 has 1728 divisors, whose sum is σ = 31432664180736. Its totient is φ = 1488883286016.

The previous prime is 7087227114223. The next prime is 7087227114263. The reversal of 7087227114240 is 424117227807.

7087227114240 is a `hidden beast` number, since 70 + 8 + 7 + 227 + 114 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9538663309 + ... + 9538664051.

Almost surely, 2^{7087227114240} is an apocalyptic number.

7087227114240 is a gapful number since it is divisible by the number (70) 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 7087227114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716332090368).

7087227114240 is an abundant number, since it is smaller than the sum of its proper divisors (24345437066496).

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

7087227114240 is a wasteful number, since it uses less digits than its factorization.

7087227114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 7087227114240 in words is "seven trillion, eighty-seven billion, two hundred twenty-seven million, one hundred fourteen thousand, two hundred forty".