1242736040 has 384 divisors, whose sum is σ = 3929990400. Its totient is φ = 348364800.

The previous prime is 1242736037. The next prime is 1242736063. The reversal of 1242736040 is 406372421.

It is a super-2 number, since 2×1242736040² = 3088785730229763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1242735994 and 1242736012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8229965 + ... + 8230115.

It is an arithmetic number, because the mean of its divisors is an integer number (10234350).

Almost surely, 2^1242736040 is an apocalyptic number.

1242736040 is a gapful number since it is divisible by the number (10) 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 1242736040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964995200).

1242736040 is an abundant number, since it is smaller than the sum of its proper divisors (2687254360).

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

1242736040 is a wasteful number, since it uses less digits than its factorization.

1242736040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 1242736040 is about 35252.4614743425. The cubic root of 1242736040 is about 1075.1266596749.

The spelling of 1242736040 in words is "one billion, two hundred forty-two million, seven hundred thirty-six thousand, forty".