1540532646240 has 144 divisors (see below), whose sum is σ = 5644951854192. Its totient is φ = 352121742336.

The previous prime is 1540532646193. The next prime is 1540532646251. The reversal of 1540532646240 is 426462350451.

It is a happy number.

It is a super-2 number, since 2×1540532646240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1540532646192 and 1540532646201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32725899 + ... + 32772938.

It is an arithmetic number, because the mean of its divisors is an integer number (39201054543).

Almost surely, 2^{1540532646240} is an apocalyptic number.

1540532646240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540532646240 is an abundant number, since it is smaller than the sum of its proper divisors (4104419207952).

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

1540532646240 is a wasteful number, since it uses less digits than its factorization.

1540532646240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65498869 (or 65498854 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 1540532646240 its reverse (426462350451), we get a palindrome (1966994996691).

The spelling of 1540532646240 in words is "one trillion, five hundred forty billion, five hundred thirty-two million, six hundred forty-six thousand, two hundred forty".