7276406941440 has 1728 divisors, whose sum is σ = 31945785231360. Its totient is φ = 1488214425600.

The previous prime is 7276406941421. The next prime is 7276406941457. The reversal of 7276406941440 is 441496046727.

It is a happy number.

7276406941440 is a `hidden beast` number, since 7 + 2 + 7 + 6 + 406 + 94 + 144 + 0 = 666.

It is a congruent number.

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, 6806741226 + ... + 6806742294.

Almost surely, 2^{7276406941440} is an apocalyptic number.

7276406941440 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 7276406941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15972892615680).

7276406941440 is an abundant number, since it is smaller than the sum of its proper divisors (24669378289920).

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

7276406941440 is a wasteful number, since it uses less digits than its factorization.

7276406941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 7276406941440 in words is "seven trillion, two hundred seventy-six billion, four hundred six million, nine hundred forty-one thousand, four hundred forty".