40015055051004 has 96 divisors (see below), whose sum is σ = 102954976588800. Its totient is φ = 11995121295360.

The previous prime is 40015055051003. The next prime is 40015055051017.

40015055051004 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40015055051003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26525757 + ... + 27993675.

It is an arithmetic number, because the mean of its divisors is an integer number (1072447672800).

Almost surely, 2^{40015055051004} is an apocalyptic number.

40015055051004 is a gapful number since it is divisible by the number (44) 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 40015055051004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51477488294400).

40015055051004 is an abundant number, since it is smaller than the sum of its proper divisors (62939921537796).

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

40015055051004 is a wasteful number, since it uses less digits than its factorization.

40015055051004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470163 (or 1470161 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

It can be divided in two parts, 4001505 and 5051004, that added together give a palindrome (9052509).

The spelling of 40015055051004 in words is "forty trillion, fifteen billion, fifty-five million, fifty-one thousand, four".