42615454103040 has 1920 divisors, whose sum is σ = 176842809335808. Its totient is φ = 8668430991360.

The previous prime is 42615454103023. The next prime is 42615454103119. The reversal of 42615454103040 is 4030145451624.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42615454103040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73856939232 + ... + 73856939808.

Almost surely, 2^{42615454103040} is an apocalyptic number.

42615454103040 is a gapful number since it is divisible by the number (40) 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 42615454103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88421404667904).

42615454103040 is an abundant number, since it is smaller than the sum of its proper divisors (134227355232768).

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

42615454103040 is a wasteful number, since it uses less digits than its factorization.

42615454103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 42615454103040 its reverse (4030145451624), we get a palindrome (46645599554664).

The spelling of 42615454103040 in words is "forty-two trillion, six hundred fifteen billion, four hundred fifty-four million, one hundred three thousand, forty".