4200510455040 has 144 divisors (see below), whose sum is σ = 13416309643968. Its totient is φ = 1120058523648.

The previous prime is 4200510455021. The next prime is 4200510455041. The reversal of 4200510455040 is 405540150024.

It is a super-2 number, since 2×4200510455040² (a number of 26 digits) contains 22 as substring.

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 = 4200510454989 and 4200510455007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200510455041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74479332 + ... + 74535708.

It is an arithmetic number, because the mean of its divisors is an integer number (93168816972).

Almost surely, 2^{4200510455040} is an apocalyptic number.

4200510455040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200510455040 is an abundant number, since it is smaller than the sum of its proper divisors (9215799188928).

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

4200510455040 is a wasteful number, since it uses less digits than its factorization.

4200510455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75804 (or 75790 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 4200510455040 in words is "four trillion, two hundred billion, five hundred ten million, four hundred fifty-five thousand, forty".