40202970071040 has 2208 divisors, whose sum is σ = 175878889804800. Its totient is φ = 8789717680128.

The previous prime is 40202970070999. The next prime is 40202970071153. The reversal of 40202970071040 is 4017007920204.

It is a tau number, because it is divible by the number of its divisors (2208).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40202970070986 and 40202970071004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1747955220469 + ... + 1747955220491.

Almost surely, 2^{40202970071040} is an apocalyptic number.

40202970071040 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 40202970071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87939444902400).

40202970071040 is an abundant number, since it is smaller than the sum of its proper divisors (135675919733760).

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

40202970071040 is an frugal number, since it uses more digits than its factorization.

40202970071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 40202970071040 its reverse (4017007920204), we get a palindrome (44219977991244).

The spelling of 40202970071040 in words is "forty trillion, two hundred two billion, nine hundred seventy million, seventy-one thousand, forty".