42215020487640 has 7680 divisors, whose sum is σ = 218020239360000. Its totient is φ = 7242504192000.

The previous prime is 42215020487603. The next prime is 42215020487669. The reversal of 42215020487640 is 4678402051224.

42215020487640 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 502 + 0 + 4 + 87 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 1029634646020 + ... + 1029634646060.

It is an arithmetic number, because the mean of its divisors is an integer number (28388052000).

Almost surely, 2^{42215020487640} is an apocalyptic number.

42215020487640 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 42215020487640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109010119680000).

42215020487640 is an abundant number, since it is smaller than the sum of its proper divisors (175805218872360).

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

42215020487640 is a wasteful number, since it uses less digits than its factorization.

42215020487640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 42215020487640 in words is "forty-two trillion, two hundred fifteen billion, twenty million, four hundred eighty-seven thousand, six hundred forty".