1540424051040 has 192 divisors, whose sum is σ = 5602698146304. Its totient is φ = 348466987008.

The previous prime is 1540424051027. The next prime is 1540424051053. The reversal of 1540424051040 is 401504240451.

It is an interprime number because it is at equal distance from previous prime (1540424051027) and next prime (1540424051053).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1540424050989 and 1540424051007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037274 + ... + 2689113.

It is an arithmetic number, because the mean of its divisors is an integer number (29180719512).

Almost surely, 2^{1540424051040} is an apocalyptic number.

1540424051040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540424051040 is an abundant number, since it is smaller than the sum of its proper divisors (4062274095264).

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

1540424051040 is a wasteful number, since it uses less digits than its factorization.

1540424051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726509 (or 4726501 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1540424051040 its reverse (401504240451), we get a palindrome (1941928291491).

The spelling of 1540424051040 in words is "one trillion, five hundred forty billion, four hundred twenty-four million, fifty-one thousand, forty".