7121658551040 has 1296 divisors, whose sum is σ = 28222706846880. Its totient is φ = 1699223961600.

The previous prime is 7121658551039. The next prime is 7121658551101. The reversal of 7121658551040 is 401558561217.

7121658551040 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 6 + 58 + 551 + 0 + 40 = 666.

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 143 ways as a sum of consecutive naturals, for example, 39346179750 + ... + 39346179930.

Almost surely, 2^{7121658551040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7121658551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14111353423440).

7121658551040 is an abundant number, since it is smaller than the sum of its proper divisors (21101048295840).

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

7121658551040 is a wasteful number, since it uses less digits than its factorization.

7121658551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 7121658551040 in words is "seven trillion, one hundred twenty-one billion, six hundred fifty-eight million, five hundred fifty-one thousand, forty".