1240407877696 has 63 divisors (see below), whose sum is σ = 2665589100231. Its totient is φ = 572442484224.

The previous prime is 1240407877661. The next prime is 1240407877697. The reversal of 1240407877696 is 6967787040421.

The square root of 1240407877696 is 1113736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 49550760000 + 1190857117696 = 222600^2 + 1091264^2 .

It is a super-3 number, since 3×1240407877696³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1240407877697) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115823190 + ... + 115833898.

Almost surely, 2^{1240407877696} is an apocalyptic number.

1240407877696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1240407877696 is the 1113736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240407877696

1240407877696 is an abundant number, since it is smaller than the sum of its proper divisors (1425181222535).

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

1240407877696 is an frugal number, since it uses more digits than its factorization.

1240407877696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21456 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 61.

The spelling of 1240407877696 in words is "one trillion, two hundred forty billion, four hundred seven million, eight hundred seventy-seven thousand, six hundred ninety-six".