42415401540000 has 480 divisors, whose sum is σ = 147362679547776. Its totient is φ = 10642001920000.

The previous prime is 42415401539963. The next prime is 42415401540013. The reversal of 42415401540000 is 4510451424.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42415401540000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4968415732 + ... + 4968424268.

Almost surely, 2^{42415401540000} is an apocalyptic number.

42415401540000 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 42415401540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73681339773888).

42415401540000 is an abundant number, since it is smaller than the sum of its proper divisors (104947278007776).

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

42415401540000 is a wasteful number, since it uses less digits than its factorization.

42415401540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13458 (or 13435 counting only the distinct ones).

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

Adding to 42415401540000 its reverse (4510451424), we get a palindrome (42419911991424).

The spelling of 42415401540000 in words is "forty-two trillion, four hundred fifteen billion, four hundred one million, five hundred forty thousand".